论文标题

光谱Zeta函数的特殊值和Dirichlet L功能的特殊值

Special values of spectral zeta functions of graphs and Dirichlet L-functions

论文作者

Xie, Bing, Zhao, Yigeng, Zhao, Yongqiang

论文摘要

在本文中,我们建立了dirichlet $ l $符合的特殊值与光谱Zeta函数或周期图的$ L $ functions之间的关系。实际上,他们以自然的方式互相决定。这两种特殊值是通过研究单位圆上一阶自动接合差异算子的光谱ZETA函数获得的组合衍生式公式桥接的。

In this paper, we establish relations between special values of Dirichlet $L$-functions and that of spectral zeta functions or $L$-functions of cycle graphs. In fact, they determine each other in a natural way. These two kinds of special values were bridged together by a combinatorial derivative formula obtained from studying spectral zeta functions of the first order self-adjoint differential operators on the unit circle.

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